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SAT Math Practice: Common Math Tricks

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1. If $7x+4y=18$ , $6y+z=27$ , and $3x+9z=5$ , what is the value of $x+y+z$ ?

$5$

$9$

$14$

$22$

2. What is the value of $(x+y)^2$ if $x^2+y^2=2$ and $xy=3$ ?

$3$

$4$

$8$

$11$

3. If $3x+6y=10$ , $-4y-5z=17$ , and $-x+3z=7$ , what is the value of $x+y-z$ ?

$4$

$9$

$14$

$17$

4. What is the value of $(2a+b)^2$ if $a^2+ab=-3$ and $b^2=1$ ?

$-11$

$-4$

$0$

$5$

5. If $-5x+2y=6$ , $2y+3z=9$ , and $x+z=17$ , what is the value of $x-y-z$ ?

$-12$

$-8$

$3$

$10$

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